RADICALS OF FUZZY IDEALS

被引:20
作者
MALIK, DS
MORDESON, JN
机构
[1] Department of Mathematics and Computer Science, Creighton University, Omaha
关键词
D O I
10.1016/0020-0255(92)90122-O
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
There are several natural ways to fuzzify the concepts of prime ideal, primary ideal, the radical of an ideal, and the primary representation of an ideal in a commutative ring. In this paper, we introduce some new approaches and compare them with known ones. Our main goal is to unify the various possible fuzzy primary representations of a fuzzy ideal to prepare the way for the study of fuzzy nonlinear systems of equations.
引用
收藏
页码:239 / 252
页数:14
相关论文
共 12 条
[1]  
KUMAR R, CERTAIN FUZZY IDEAS
[2]   L-FUZZY CATEGORY [J].
SUGENO, M ;
SASAKI, M .
FUZZY SETS AND SYSTEMS, 1983, 11 (01) :43-64
[3]   FUZZY MAXIMAL, RADICAL, AND PRIMARY IDEALS OF A RING [J].
MALIK, DS ;
MORDESON, JN .
INFORMATION SCIENCES, 1991, 53 (03) :237-250
[4]   FUZZY PRIMARY REPRESENTATIONS OF FUZZY IDEALS [J].
MALIK, DS ;
MORDESON, JN .
INFORMATION SCIENCES, 1991, 55 (1-3) :151-165
[5]  
MALIK DS, 1990, FUZZY SET SYST, V37, P93, DOI 10.1016/0165-0114(90)90066-F
[6]  
MCCOY NH, RINGS IDEALS
[7]   ON FUZZY IDEALS OF A RING .1. [J].
MUKHERJEE, TK ;
SEN, MK .
FUZZY SETS AND SYSTEMS, 1987, 21 (01) :99-104
[8]   FUZZY GROUPS [J].
ROSENFELD, A .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1971, 35 (03) :512-+
[9]   FUZZY PRIME IDEALS OF RINGS [J].
SWAMY, UM ;
SWAMY, KLN .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1988, 134 (01) :94-103
[10]   FUZZY SETS [J].
ZADEH, LA .
INFORMATION AND CONTROL, 1965, 8 (03) :338-&